Suppose f(x)= x^2 and g(x)= (1/5x)^2. Which statement best compares the graph of g(x) with the graph of f(x)?

Answer:g(x) is the image of f(x) after stretched horizontallyby scale factor = 5Step-by-step explanation:∵ f(x) = x² ⇒ quadratic function∵ g(x) = (1/5 x)² ⇒ The image of f(x) after one transformation* Stretches or compresses horizontally:   It means stretches away from the y-axis   or compresses toward the y-axis * If f(x) = (ax)²  :∵ |a| > 1 is a compression by factor of 1/a ∵ 0 < |a| < 1 is a stretch by factor of 1/a∵ x-coordinate of f(x) multiplied by 1/5∵ 0 < 1/5 < 1∴ The transformation is ⇒ stretched horizontally∴ g(x) is the image of f(x) after stretched horizontally   by scale factor = 1 ÷ 1/5 = 5